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21225910680 = 2334513503939
BaseRepresentation
bin10011110001001010…
…011011000110011000
32000210021021222120000
4103301022123012120
5321432313120210
613430120533000
71350666156342
oct236112330630
960707258500
1021225910680
119002522947
124144621160
132003671980
14105503c292
158436c3ac0
hex4f129b198

21225910680 has 160 divisors (see below), whose sum is σ = 76830692400. Its totient is φ = 5224829184.

The previous prime is 21225910649. The next prime is 21225910681. The reversal of 21225910680 is 8601952212.

21225910680 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 591 + 0 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21225910681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 209850 + ... + 294089.

Almost surely, 221225910680 is an apocalyptic number.

21225910680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21225910680 is an abundant number, since it is smaller than the sum of its proper divisors (55604781720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21225910680 is a wasteful number, since it uses less digits than its factorization.

21225910680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503975 (or 503962 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 21225910680 in words is "twenty-one billion, two hundred twenty-five million, nine hundred ten thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 312 324 351 360 390 405 468 520 540 585 648 702 780 810 936 1053 1080 1170 1404 1560 1620 1755 2106 2340 2808 3240 3510 4212 4680 5265 7020 8424 10530 14040 21060 42120 503939 1007878 1511817 2015756 2519695 3023634 4031512 4535451 5039390 6047268 6551207 7559085 9070902 10078780 12094536 13102414 13606353 15118170 18141804 19653621 20157560 22677255 26204828 27212706 30236340 32756035 36283608 39307242 40819059 45354510 52409656 54425412 58960863 60472680 65512070 68031765 78614484 81638118 90709020 98268105 108850824 117921726 131024140 136063530 157228968 163276236 176882589 181418040 196536210 204095295 235843452 262048280 272127060 294804315 326552472 353765178 393072420 408190590 471686904 530647767 544254120 589608630 707530356 786144840 816381180 884412945 1061295534 1179217260 1415060712 1632762360 1768825890 2122591068 2358434520 2653238835 3537651780 4245182136 5306477670 7075303560 10612955340 21225910680